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Finding the Fourth Proportional to 29,046, 43,569.54 and 8,270.04

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Solution

The fourth proportional to 29,046, 43,569.54 and 8,270.04 is: 12,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046 : 43,569.54 = 8,270.04 : x
  2. Step 2: Convert to fraction form
    29,046/43,569.54 = 8,270.04/x
  3. Step 3: Cross multiply
    29,046x = 43,569.54 × 8,270.04
  4. Step 4: Simplify right side
    29,046x = 360,321,838.58
  5. Step 5: Solve for x
    x = 360,321,838.58/29,046
  6. Step 6: Final answer
    x = 12,405.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.